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Simplifying -1n + 6(-10n + 6) = 9(-7n + 6) Reorder the terms: -1n + 6(6 + -10n) = 9(-7n + 6) -1n + (6 * 6 + -10n * 6) = 9(-7n + 6) -1n + (36 + -60n) = 9(-7n + 6) Reorder the terms: 36 + -1n + -60n = 9(-7n + 6) Combine like terms: -1n + -60n = -61n 36 + -61n = 9(-7n + 6) Reorder the terms: 36 + -61n = 9(6 + -7n) 36 + -61n = (6 * 9 + -7n * 9) 36 + -61n = (54 + -63n) Solving 36 + -61n = 54 + -63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '63n' to each side of the equation. 36 + -61n + 63n = 54 + -63n + 63n Combine like terms: -61n + 63n = 2n 36 + 2n = 54 + -63n + 63n Combine like terms: -63n + 63n = 0 36 + 2n = 54 + 0 36 + 2n = 54 Add '-36' to each side of the equation. 36 + -36 + 2n = 54 + -36 Combine like terms: 36 + -36 = 0 0 + 2n = 54 + -36 2n = 54 + -36 Combine like terms: 54 + -36 = 18 2n = 18 Divide each side by '2'. n = 9 Simplifying n = 9
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